Here is my first 25 vs 50mm comparative observation report.
With observations made from my suburban driveway on Thursday 9 December 2021. Skies were slightly hazy, but clear. I would put the naked eye limiting magnitude at around 4.30 based on a sighting of Kappa Cassiopeiae (4.19 mag)
The instrument used is a Vortex Razor 10x50 UHD. An excellent binocular, and the sharpest 10x50 in my collection. By using the same instrument with and without 25mm aperture masks to make observations, optical quality becomes a mostly neutral factor in the comparisons. The observations are essentially comparing an excellent quality 10x50mm binocular with an excellent quality 10x25 binocular. Given the advantage of masking all but the center of the objectives, it could be argued that the resulting 10x25 binocular provides a better optical quality view than the same instrument at full aperture.
Observations made of the 5 day 20 hour moon support this to a certain extent. A slight CA rim seen in the full aperture view was not present in the masked view. Whether this is a consequence of the reduced illumination or the better figure in the center 25% of the objectives I do not know. The views were enjoyable both with and without the masks. At the current phase, the moon is not overly bright from my perspective so masking wasn't an improvement in that regard. The non masked view showed slightly better detail, though the difference was subtle. For example, the rim structure of a small complex of craters just west of Polybius (C,F,P on chart 57 in the Rukl atlas 1st edition) was noticeably more distinct in the unmasked view. My sense from this comparison is that a less extreme mask might be a potential benefit for lunar observation, even with a top quality binocular. Aperture masks of 42mm or even 35mm might be worth trying. Aperture masks in this range might also reduce flaring on Jupiter, for example. The aperture masks did not seem to provide a noticeable benefit improving star image quality for brighter stars, which is quite good overall but somewhat dependent on eye positioning. I did not spend much time evaluating this characteristic, honestly.
More can be seen with a 10x25mm binocular in deep sky observing than I had anticipated.
This is not to say that differences between 25 and 50mm are not apparent. But it is understandable that the differences might not be conspicuous to an observer unfamiliar with 10x50 binoculars and possessing limited knowledge of the night sky. Overall, many more faint stars (8-9.5 magnitude range) can be seen with a mounted 10x50 binocular compared to the view with the same instrument masked to 25mm. Hand held, the magnitude limits at either aperture are reduced by say 1.5-2 magnitudes.
M45 / Pleiades
The view with the 25mm binocular is pleasing, frankly. But comparing it directly with 50mm aperture it is obvious and undeniable that fainter stars are brighter and more readily seen. Specifics?

1. 8.77 mag Seen in direct vision at 50mm and quite difficult in averted with 25mm, seen perhaps 20% of the time.
2. 7.78 mag Seen in direct vision at 50mm but in averted at 25mm. seen perhaps 50% of the time.
3. 9.90 mag Seen in averted perhaps 25% of the time at 50mm. Not seen at 25mm.
4. STFA 8 8.26/8.72 54.7". Easily resolved in direct vision at 50mm (and quite fun). Difficult at 25mm. Primary(?) seen readily in averted. Secondary glimpsed 25% of time.
5. S 437 AB,C 8.13/7.70 38.8. Easily resolved in direct vision at 50mm (and quite fun). Somewhat challenging in averted at 25mm. Seen 75% of time.
M52 Open Cluster Cassiopeia
Cluster seen faintly in averted as nebulous glow with brightest star in cluster (SAO 20606 / 8.27 mag) readily seen in direct view at 50mm. Cluster not seen at 25mm. SAO 20606 occasionally glimpsed in averted.
WZ Cassiopeia / STTA 254
50mm: Double resolved at 50mm red and blue colors distinct. 25mm Primary seen steadily and red color discenable though not as apparent compared with 50mm view. Secondary seen in averted perhaps 50% of the time. Color not apparent. Frankly, I was impressed the secondary could be glimpsed at 25mm. Had not anticipated that. Secondary is 8.30 magnitude.
NGC 457 Open Cluster Cassiopeia
Phi Cas and HD 7902 (the owl's eyes) readily seen at both apertures. At 25mm the rest of the cluster appears as a faint nebulosity in averted vision. It is much brighter at 50mm with 6-8 stars resolved in averted vision and additional grainy nebulosity from partially resolved cluster members.
Perseus Moving Group
Perhaps 25% additional faint stars seen at 50mm compared with 25mm.
Kemble's Cascade / NGC 1502 / STF 485
The cascade is faint but seen steadily in averted at 50mm. At 25mm some of the stars can be seen in averted but not the entire string. NGC 1502: a faint granularity with a few stars flickering in averted at 50mm. Not seen at 25mm. STF 485 (6.9/6.9 17.7") is slightly challenging but not hard to resolve at 50mm. It is quite difficult to resolve at 25mm. Presumably the issue is the comparatively small (for binoculars) separation.
M37/M36/M38 Auriga
I was able to see all three of these clusters in averted vision at 25mm, which came as a surprise to me.
All three were more easily seen at 50mm, needless to say, and stars were resolved in both M38 and M36 at 50mm that could not be seen at 25mm, but I was nevertheless impressed that the clusters could been seen at all with such a small aperture under suburban skies.
STF 764 Auriga
6.38/7.08 25.6" pa 14*
A recent favorite double of mine. Readily seen and fun at both 25 and 50mm aperture.
Thank you for reading. 